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Finding the Fourth Proportional to 217,386.87, 299,993.59 and 120,605.40

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Solution

The fourth proportional to 217,386.87, 299,993.59 and 120,605.40 is: 166,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,386.87 : 299,993.59 = 120,605.40 : x
  2. Step 2: Convert to fraction form
    217,386.87/299,993.59 = 120,605.40/x
  3. Step 3: Cross multiply
    217,386.87x = 299,993.59 × 120,605.40
  4. Step 4: Simplify right side
    217,386.87x = 36,180,846,919.39
  5. Step 5: Solve for x
    x = 36,180,846,919.39/217,386.87
  6. Step 6: Final answer
    x = 166,435.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.